There definately is a happy medium.
For one of my buddies stags, we had two strippers come golfing with us. Of course when we were teeing off and close to the clubhouse among thge non-stagging public, they were properly dressed and acting normal.
By Hole 2, they were topless and were being chauffeured around to all the 4-somes in the stag, being picked up and dropped off every couple holes. It was great. Nothing too scandalous. Just some innocent flirting and flesh being exposed.
Tough to hit a good drive with wicked scenery a few feet away from you laying on the tee box, if you know what I'm sayin!
This might work out for you, as you get your "no strippers" but there is still some T&A.
I should note that one of the groomsmen's family owned the course so there was a bit of leeway with us and they rigged the scheduling so that our run-ins with the paying public were minimal.
However if you find the right course and be semi-discreet, you could easily pull it off.
Good luck!